# Percentage Calculator

### 5 is what percent of 460?

#### Solution for 5 is what percent of 460:

5:460*100 =

(5*100):460 =

500:460 = 1.09

**Now we have: 5 is what percent of 460 = 1.09**

**Question: 5 is what percent of 460?**

Percentage solution with steps:

Step 1: We make the assumption that 460 is 100% since it is our output value.

Step 2: We next represent the value we seek with {x}.

Step 3: From step 1, it follows that {100\%}={460}.

Step 4: In the same vein, {x\%}={5}.

Step 5: This gives us a pair of simple equations:

{100\%}={460}(1).

{x\%}={5}(2).

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS

(left hand side) of both equations have the same unit (%); we have

\frac{100\%}{x\%}=\frac{460}{5}

Step 7: Taking the inverse (or reciprocal) of both sides yields

\frac{x\%}{100\%}=\frac{5}{460}

\Rightarrow{x} = {1.09\%}

Therefore, {5} is {1.09\%} of {460}.

#### Solution for 460 is what percent of 5:

460:5*100 =

(460*100):5 =

46000:5 = 9200

**Now we have: 460 is what percent of 5 = 9200**

**Question: 460 is what percent of 5?**

Percentage solution with steps:

Step 1: We make the assumption that 5 is 100% since it is our output value.

Step 2: We next represent the value we seek with {x}.

Step 3: From step 1, it follows that {100\%}={5}.

Step 4: In the same vein, {x\%}={460}.

Step 5: This gives us a pair of simple equations:

{100\%}={5}(1).

{x\%}={460}(2).

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS

(left hand side) of both equations have the same unit (%); we have

\frac{100\%}{x\%}=\frac{5}{460}

Step 7: Taking the inverse (or reciprocal) of both sides yields

\frac{x\%}{100\%}=\frac{460}{5}

\Rightarrow{x} = {9200\%}

Therefore, {460} is {9200\%} of {5}.

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